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Finding the Third Proportional to 64,644 and 134,822

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Solution

The third proportional to 64,644 and 134,822 is: 281,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,644 : 134,822 = 134,822 : x
  2. Step 2: Convert to fraction form
    64,644/134,822 = 134,822/x
  3. Step 3: Cross multiply
    64,644x = 134,822 × 134,822
  4. Step 4: Simplify right side
    64,644x = 18,176,971,684
  5. Step 5: Solve for x
    x = 18,176,971,684/64,644
  6. Step 6: Final answer
    x = 281,185.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.